answer:
40°
step by step:
93°+47° (i think the circle at the bottom says 47)=140°
180° ( as the angles in a triangle must add up too 180°) - 140° = 40°
Answer:
B (the second number line)
Step-by-step explanation:
= 7, so
would be close to 7
9514 1404 393
Answer:
AE = CE = 12 in
Step-by-step explanation:
Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...
180° -2×30° = 120°
In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.
Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.
Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.
The measurements of interest are ...
AE = CE = 12 in.
_____
<em>Additional comment</em>
Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:
∠BDF = ∠BDE
∠BCF = ∠BCA
This makes it more obvious that the triangles of interest are similar.
Answer:
Here:
Step-by-step explanation:
23. f(x) =
and g(x) = 
24. f(x) =
and g(x) = 
28. f(x) =
and g(x) = 
29. f(x) =
and g(x) = 
Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function =
. Same with f(x) =
. In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.